(r-6)=(3r-3)

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Solution for (r-6)=(3r-3) equation:


Simplifying
(r + -6) = (3r + -3)

Reorder the terms:
(-6 + r) = (3r + -3)

Remove parenthesis around (-6 + r)
-6 + r = (3r + -3)

Reorder the terms:
-6 + r = (-3 + 3r)

Remove parenthesis around (-3 + 3r)
-6 + r = -3 + 3r

Solving
-6 + r = -3 + 3r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-3r' to each side of the equation.
-6 + r + -3r = -3 + 3r + -3r

Combine like terms: r + -3r = -2r
-6 + -2r = -3 + 3r + -3r

Combine like terms: 3r + -3r = 0
-6 + -2r = -3 + 0
-6 + -2r = -3

Add '6' to each side of the equation.
-6 + 6 + -2r = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -2r = -3 + 6
-2r = -3 + 6

Combine like terms: -3 + 6 = 3
-2r = 3

Divide each side by '-2'.
r = -1.5

Simplifying
r = -1.5

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